Solve the system -2x+3y=8 3x-y=-5

We'll solve the system using the elimination
method.

We'll note the equations of the system
as:

-2x+3y = 8 (1)

3x-y = -5
(2)

We'll multiply (2) by
3:

3*(3x-y) = -5*3

9x - 3y =
-15 (3)

We'll add (3) to
(1):

9x - 3y - 2x + 3y=
-15+8

We'll eliminate like
terms:

7x = -7

We'll divide by
-7:

x = -1

We'll substitute
the value of x into (2):

3x-y =
-5

-3- y = -5

We'll add 3 both
sides:

-y = -5+3

-y =
-2

y = 2

The
solution of the system is: {(-1 , 2)}.